Final answer:
The quadratic equation x^2 + 11x + 30 can be factored into (x + 5)(x + 6) = 0, which indicates that the solutions for x are -5 and -6.
Step-by-step explanation:
The question is related to quadratic equations, a fundamental concept in algebra. The expression provided, x2 + 11x + 30, is a quadratic equation in its standard form. To solve for x, one can factor the quadratic or apply the quadratic formula.
To factor the equation, you need to find two numbers that multiply to give 30 (the constant term) and at the same time add up to 11 (the coefficient of the x term). The numbers 5 and 6 fulfill this requirement since 5 * 6 = 30 and 5 + 6 = 11. Therefore, the factored form of the equation is (x + 5)(x + 6) = 0. This leads to two possible solutions for x: x = -5 and x = -6.